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SHSAT Math
Natural Numbers/Counting Numbers - correct answer 1,2,3... (0 is not included) Whole Numbers - correct answer 0, 1, 2, 3.... (0 is included) Integers - correct answer Whole numbers and their opposites (... -3, -2, -1, 0, 1, 2,
3.. .) Prime Numbers - correct answer Integers greater than 1 and have exactly 2 factors (1 and themselves); 2 is only even prime number Composite Numbers - correct answer Integers with more than 2 factors Distinct Numbers - correct answer Numbers that are different from each other Even Numbers - correct answer Integers divisible by 2 (can be negative) Odd Numbers - correct answer integers not divisible by 2 (can be negative) GCF (Greatest Common Factor) - correct answer the largest common factor of two or more given numbers (24, 36, 60 = 12) LCM (Least Common Multiple) - correct answer The smallest whole number greater than 0 that is a common multipl\e of each of two or more numbers. (24, 36, 60 =
Divisible by 2 - correct answer The last digit is even (0,2,4,6,8) Divisible by 3 - correct answer The sum of the digits is divisible by 3
Divisible by 4 - correct answer The last 2 digits are divisible by 4 Divisible by 5 - correct answer The last digit is 0 or 5 Divisible by 6 - correct answer The number is divisible by both 2 and 3 Divisible by 9 - correct answer If the sum of the digits is divisible by 9 Divisible by 10 - correct answer The number ends in 0 Sum of two prime numbers is always even except when... - correct answer One of the numbers is 2 Three consecutive numbers contain at least one number that is divisible by ___ and at least one number that is divisible by ___ - correct answer 2, 3 Rational number - correct answer A number that can be written as a fraction or repeating decimal How do you figure out the GCF of two numbers? - correct answer Do prime factorization of each and multiply their common prime factors. So, if the prime factorization of one number is 2237 and the other is 23, the GCF is 23 or 6. How do you figure out the LCM of two numbers? - correct answer Do prime factorization of each and then write out the prime factors of each number on top of one another. For each prime factor, see what the greatest number of that prime factor is for each and write that number down that many times. For example, to do the LCM of 42, 12; 42=723 and 12=223, so you multiply: 7223. If both numbers have one of a prime factor, you enter that prime factor once. If only one of the numbers has a certain prime factor, you also only enter that number once. If one number has two of a given prime factor and the other number only has one of that prime factor, you enter that prime factor twice.
"of" means - correct answer times "is" means - correct answer equals "what" means - correct answer x P(A or B) = PA + PB - P(A+B) - correct answer We wrote this down. Not sure what it means. Algebra = - correct answer 1. Get x on one side and the numbers on the other side
- deal with what is stuck to the x (multiply or divide)
- don't forget about negatives % up or down or relative error: - correct answer amount up or down or off by x/ (original amount or accurate measurement) slope = - correct answer up/down over side to side For a right-angled triangle, formula for hypotenuse: - correct answer a squared + b squared = c squared (c = hypotenuse) START WITH FORMULA AND THEN PLUG IN WHAT YOU KNOW AND PUT X FOR UNKNOWN - correct answer you just wrote this not sure what it is Steps for solving a percent increase or decrease: - correct answer Step 1: Find the number difference Step 2: Set up a proportion where #difference/original# = x/ Step 3: Solve for x Area of a Trapezoid (put a diagram) - correct answer (b1+b2/2)H
Circumfrence of a circle - correct answer 2πr or rd Area of a Cylinder - correct answer (pi r*2)h Pythagorean Theorem - correct answer a²+b²=c² Right triangle angles - correct answer 3, 4, 5; 5, 12, 13 Area of a Pyramid - correct answer 1/3 x area of base x height How to deal with math multiple choice questions: - correct answer 1. Read the question slowly and carefully
- Create an equation
- Solve the equation
- If you are having trouble, use process of elimination (DON'T RUSH!!!) How many numbers are between 33 and 111 - correct answer Use mean/average What do you do first when you have to do the area of a trapezoid? - correct answer You see if you can use the Pythagorean Theorem. What do you do before writing down the answer to a math question? - correct answer Make sure you are answering exactly what the question is asking you to answer. when a question is asking you to answer how many ____ numbers are in between ___ and ___, what do you do? - correct answer you write down three blank lines as three digits and under the lines, write down each possible digit that the line could hold. Then, multiply the number of possibilities in each of the three digits. Area Of A Cone Formula - correct answer Area of the base of the cone: A = pie(r)squared, volume of the cone: V = 1/3 pie(r)squared(h)
What is the sum of all of the exterior angles of a triangle? - correct answer 360 degrees what is the supplement of an angle? - correct answer Two angles that add up to 180 degrees sum of all interior angles of an octagon - correct answer 1080 degrees sum of interior angles for any shape - correct answer (number of sides-2) How many degrees in an exterior angle of a polygon? - correct answer 360/n (where n equals the number of sides in the polygon) What do you do when a question asks for the overall range of ______? - correct answer You use the range and the highest ______ to find the lowest _______ and then find all of the ranges for each thing and add them together. What is the answer of the greatest of 5 consecutive integers + the least of 5 consecutive integers - correct answer the middle of those 5 consecutive integers what is the formula for average or mean problems - correct answer sum of the test scores that you know divided by the number of numbers = the average of that group of numbers Whenever a problem says that when there is an amount x, there is an amount y, what kind of problem is it? - correct answer A ratio problem In a problem where you have to find something in a unit where it isn't converted already what do you do - correct answer Convert first When a question refers to a range of test scores, what does that mean? - correct answer The difference of the highest and lowest test score.
When you are multiplying exponents with the same base, what do you do? - correct answer You add the two exponents together When you are dividing exponents, what do you do? - correct answer You find the difference of the two exponents What are complimentary angles? - correct answer Two angles that add up to 90 degrees How do you evaluate A number with a negative exponent - correct answer Write the reciprocal of the number and then use a positive exponent
